It seems you're describing different approaches to architectural design that involve tessellation and pattern usage. Here’s a breakdown of each approach you mentioned:
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Using an organic pattern in the form of a tessellation: This design approach utilizes naturally inspired shapes that are repeated in a way that fits together seamlessly, often mimicking forms found in nature, such as leaves, shells, or animal shapes.
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Using a geometric pattern in the form of a tessellation: This method employs mathematical shapes—like triangles, squares, and hexagons—repeating in a structured way. Geometric tessellations are often characterized by their symmetry and order.
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Using no defined pattern and placing shapes randomly: This approach involves a more chaotic or freeform design where various shapes and forms are arranged without a specific pattern. This can create a dynamic and unique aesthetic but may lack the cohesiveness seen in tessellated designs.
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Using patterns that alternate between geometric and organic: This hybrid approach incorporates both structured geometric shapes and more fluid organic forms, creating a design that balances order and spontaneity.
Depending on the architectural context, each of these methods can lead to intriguing and innovative designs. If you have a specific architect or design in mind, it could help narrow down which approach was used.